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lisabon 2012 [21]
2 years ago
8

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

esents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3
Mathematics
2 answers:
storchak [24]2 years ago
7 0

Its B on edg - 2pi^3

cluponka [151]2 years ago
5 0
<h2>Answer:</h2><h2>volume of the cylinder = 2πx^{3}</h2>

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = πr^{2} h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = πr^{2} h =  π x^{2} (2x)

volume of the cylinder = 2πx^{3}

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A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs wa
Scrat [10]

Answer:

see below

Step-by-step explanation:

In the system of equations, x represents the,  price to wash a car and y represents the price to wash an SUV.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.

x=12 and y = 18

x+y = 12+18 = 30

The total cost of 1 car and 1 SUV is $_30____.

5x+4y = 5(12)+4(18) = 60+ 72 =132

The total earnings for hour 3 are $_132_____.

3 0
2 years ago
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The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile
nevsk [136]

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

7 0
2 years ago
. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l
Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

x^2+y^2=25^2

x^2+y^2=625

Now, we need to find the derivative of above equation with respect to time.

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 20-1(5)=20-5=15

Let us solve for y using Pythagoras theorem.

y^2+15^2=25^2

y^2+225=625

y^2=625-225

y^2=400

Take positive square root:

\sqrt{y^2}=\sqrt{400}

y=20

Upon substituting our given values in derivative equation, we will get:

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0

-30+40\cdot \frac{dy}{dt}=0

40\cdot \frac{dy}{dt}=30

\frac{dy}{dt}=\frac{30}{40}

\frac{dy}{dt}=0.75

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

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2 years ago
an angle measures 62 degrees less than the measure of its complementary angle. what is the measure of each angle
Yuki888 [10]

Answer:

Step-by-step explanation:

What is a complementary angle?

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In Texas, the coldest temperature ever recorded is -23 F. That's a lot chillier than in Florida, where the coldest recorded temp
beks73 [17]

Answer:

21

Step-by-step explanation:

21+-23=-2

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2 years ago
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